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Simplifying 9j + 5 = 29 + -3j Reorder the terms: 5 + 9j = 29 + -3j Solving 5 + 9j = 29 + -3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '3j' to each side of the equation. 5 + 9j + 3j = 29 + -3j + 3j Combine like terms: 9j + 3j = 12j 5 + 12j = 29 + -3j + 3j Combine like terms: -3j + 3j = 0 5 + 12j = 29 + 0 5 + 12j = 29 Add '-5' to each side of the equation. 5 + -5 + 12j = 29 + -5 Combine like terms: 5 + -5 = 0 0 + 12j = 29 + -5 12j = 29 + -5 Combine like terms: 29 + -5 = 24 12j = 24 Divide each side by '12'. j = 2 Simplifying j = 2
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